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Finding the Third Proportional to 558,724 and 864,956

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Solution

The third proportional to 558,724 and 864,956 is: 1,339,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,724 : 864,956 = 864,956 : x
  2. Step 2: Convert to fraction form
    558,724/864,956 = 864,956/x
  3. Step 3: Cross multiply
    558,724x = 864,956 × 864,956
  4. Step 4: Simplify right side
    558,724x = 748,148,881,936
  5. Step 5: Solve for x
    x = 748,148,881,936/558,724
  6. Step 6: Final answer
    x = 1,339,031.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.